On the global existence for a degenerate elliptic-parabolic seawater intrusion problem

DOI10.1016/j.matcom.2010.12.026zbMath1419.76092OpenAlexW1987919787MaRDI QIDQ554575

Carole Rosier, Khalid Najib

Publication date: 4 August 2011

Published in: Mathematics and Computers in Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.matcom.2010.12.026

zbMATH Keywords

finite element methoddegenerate elliptic-parabolic systemfreeFemseawater intrusion problem

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Finite element methods applied to problems in fluid mechanics (76M10)

Related Items

Mixed formulation of a stationary seawater intrusion problem in confined aquifers, Mathematical Analysis of a Seawater Intrusion Model Including Storativity, Unnamed Item, Numerical simulations for a seawater intrusion problem in a free aquifer, Numerical analysis for a seawater intrusion problem in a confined aquifer, Global weak solutions for a degenerate parabolic system modelling seawater intrusion in confined aquifers, Well posedness of general cross-diffusion systems, Unnamed Item, Identification of the source function for a seawater intrusion problem in unconfined aquifer, Convergence of a multi-point flux approximation finite volume scheme for a sharp-diffuse interfaces model for seawater intrusion, Mathematical analysis of a sharp-diffuse interfaces model for seawater intrusion

Uses Software

• FreeFem++

Cites Work

• Compact sets in the space \(L^ p(0,T;B)\)
• Quasilinear elliptic-parabolic differential equations
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• Well-posedness of a degenernate parabolic equation issuing from two-dimensional perfect fluid dynamics
• Mathematical Analysis for Reservoir Models
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